On the Mutual Information and Low-SNR Capacity of Memoryless Noncoherent Rayleigh-Fading Channels

Author

de la Kethulle de Ryhove, S. ; Marina, Ninoslav ; Oien, Geir E.

Author_Institution

Electromagn. Geoservices, Trondheim

Volume

54

Issue

7

fYear

2008

fDate

7/1/2008 12:00:00 AM

Firstpage

3221

Lastpage

3231

Abstract

The memoryless noncoherent single-input-single-output (SISO) Rayleigh-fading channel is considered. Closed-form expressions are derived for the mutual information between the output and the input of this channel when the input magnitude distribution is discrete and is restricted to having two mass points. It is subsequently shown how these expressions can be used to obtain closed-form expressions for the capacity of this channel for signal to noise ratio (SNR) values of up to approximately 0 dB, and a tight capacity lower bound for SNR values between 0 dB and 10 dB. The expressions for the channel capacity and its lower bound are given as functions of a parameter which can be obtained via numerical root-finding algorithms.

Keywords

Rayleigh channels; numerical analysis; input magnitude distribution; low-SNR capacity; memoryless noncoherent Rayleigh-fading channels; numerical root-finding algorithms; signal to noise ratio; Channel capacity; Closed-form solution; Communication channels; Marine technology; Memoryless systems; Mutual information; Rayleigh channels; Signal to noise ratio; Transmitters; Wireless communication; Capacity; Rayleigh-fading channel; capacity lower bound; hypergeometric function; hypergeometric series; memoryless channel; mutual information; noncoherent communication channel;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2008.924708

Filename

4544962